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122673676428 = 2232431133372081
BaseRepresentation
bin111001000111111101…
…0111100000010001100
3102201122100011110001100
41302033322330002030
54002213430121203
6132204442343100
711601653021262
oct1621772740214
9381570143040
10122673676428
1148031101866
121b9371baa90
13b7500b5324
145d1a486432
1532cea8aea3
hex1c8febc08c

122673676428 has 144 divisors (see below), whose sum is σ = 321215390496. Its totient is φ = 39450378240.

The previous prime is 122673676409. The next prime is 122673676451. The reversal of 122673676428 is 824676376221.

122673676428 is a `hidden beast` number, since 12 + 267 + 367 + 6 + 4 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58948348 + ... + 58950428.

It is an arithmetic number, because the mean of its divisors is an integer number (2230662434).

Almost surely, 2122673676428 is an apocalyptic number.

122673676428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122673676428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160607695248).

122673676428 is an abundant number, since it is smaller than the sum of its proper divisors (198541714068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122673676428 is a wasteful number, since it uses less digits than its factorization.

122673676428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2579 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 122673676428 in words is "one hundred twenty-two billion, six hundred seventy-three million, six hundred seventy-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 113 129 172 226 258 337 339 387 452 516 674 678 774 1011 1017 1348 1356 1548 2022 2034 2081 3033 4044 4068 4162 4859 6066 6243 8324 9718 12132 12486 14491 14577 18729 19436 24972 28982 29154 37458 38081 43473 43731 57964 58308 74916 76162 86946 87462 89483 114243 130419 152324 173892 174924 178966 228486 235153 260838 268449 342729 357932 456972 470306 521676 536898 685458 701297 705459 805347 940612 1073796 1370916 1402594 1410918 1610694 1637483 2103891 2116377 2805188 2821836 3221388 3274966 4207782 4232754 4912449 6311673 6549932 8415564 8465508 9824898 10111579 12623346 14737347 19649796 20223158 25246692 29474694 30155771 30334737 40446316 58949388 60311542 60669474 79246561 90467313 91004211 120623084 121338948 158493122 180934626 182008422 237739683 271401939 316986244 361869252 364016844 475479366 542803878 713219049 950958732 1085607756 1426438098 2852876196 3407602123 6815204246 10222806369 13630408492 20445612738 30668419107 40891225476 61336838214 122673676428